Online GCD Calculator is useful to find the GCD of 426, 234, 46, 478 quickly. Get the easiest ways to solve the greatest common divisor of 426, 234, 46, 478 i.e 2 in different methods as follows.
Given Input numbers are 426, 234, 46, 478
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 46 :
The positive integer divisors of 46 that completely divides 46 are.
1, 2, 23, 46
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
GCD of numbers is the greatest common divisor
So, the GCD (426, 234, 46, 478) = 2.
Given numbers are 426, 234, 46, 478
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 46 are 2 x 23
Prime factors of 478 are 2 x 239
The highest common occurrence is 21
Therefore, GCD of 426, 234, 46, 478 is 2.
Given numbers are 426, 234, 46, 478
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 234) = 16614
GCD(426, 234) = ( 426 x 234 ) / 16614
= 426 / 234
= 426
Step2:
LCM(6, 46) = 138
GCD(6, 46) = ( 6 x 46 ) / 138
= 6 / 46
= 6
Step3:
LCM(2, 478) = 478
GCD(2, 478) = ( 2 x 478 ) / 478
= 2 / 478
= 2
So, Greatest Common Divisor of 426, 234, 46, 478 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 234, 46, 478
The greatest common divisor of numbers 426, 234, 46, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 234, 46, 478 is 2.
1. What is the GCD of 426, 234, 46, 478?
GCD of given numbers 426, 234, 46, 478 is 2
2. How to calculate the greatest common divisor of 426, 234, 46, 478?
We can find the highest common divisor of 426, 234, 46, 478 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 426, 234, 46, 478 i.e 2.
3. How can I use the GCD of 426, 234, 46, 478Calculator?
Out the numbers 426, 234, 46, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.